Question

Given the points M(-2,-4) and N(1, 5), find the point T that partitions MN in a ratio of 1:2.

Answer 1

Point T is (-1,1)

Explanation:

Concept:

If there two points (x1,y1) and (x2,y2) which lies on coordinate plane and them it divided by point p in the ratio m:n then coordinate of point p is given by

p (nx1+mx2)/(m+n), (ny1+my2)/(m+n)

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Given

points M(-2,-4) and N(1, 5)

ratio : 1:2

point t is (2*-2+1*1)/(1+2), (2*-4+1*5)/(1+2)

=> (-4+1)/(3), (-8+5)/(3)

=> -3/3 , 3/3

=> -1, -1

Thus, point T is (-1,1)